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Read the following description of a data set. $\newline$ Mr. Duran is offering extra credit on his statistics exam. All students have to do is state how many hours they spent studying for the exam. After he finished grading, Mr. Duran looked at how self-reported studying times were related to exam scores.He recorded the number of hours each student had reported studying, $x$ , and his or her exam score (out of $100$ ), $y$ .The least squares regression line of this data set is: $y = 12.982x + 47.742$ $\newline$ Complete the following sentence: $\newline$ For each additional hour a student had reported studying, the least squares regression line predicts that he or she would score $\_$ points higher on the exam.

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Interpret regression lines

Full solution

Q. Read the following description of a data set.

\newline

Mr. Duran is offering extra credit on his statistics exam. All students have to do is state how many hours they spent studying for the exam. After he finished grading, Mr. Duran looked at how self-reported studying times were related to exam scores.He recorded the number of hours each student had reported studying,

x

, and his or her exam score (out of

100

),

y

.The least squares regression line of this data set is:

y = 12.982x + 47.742

\newline

Complete the following sentence:

\newline

For each additional hour a student had reported studying, the least squares regression line predicts that he or she would score

\_

points higher on the exam.

Identify coefficient of x: Identify the coefficient of x in the regression equation to determine the increase in score per additional hour studied. The equation given is $y = 12.982x + 47.742$ . The coefficient of x, $12.982$ , represents the increase in exam score for each additional hour studied.

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